If the voice identifications were made by random guesses, find the probability that all nine victims would select the same person.Nine different victims listened to voice recording of five...

If the voice identifications were made by random guesses, find the probability that all nine victims would select the same person.

Nine different victims listened to voice recording of five different men. all nine victims identified the same voice as that of the criminal.

Expert Answers
thilina-g eNotes educator| Certified Educator

The probability of victim select a particular person `= 1/5`

If all the nine victim select the same person, the probability of that happening is,

`P = (1/5)^9`

`P = 5.17 xx 10^(-7)`

 

Therefore there is a very small chance of `5.17 xx 10^(-7)` that all nine victims would select the same person.